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Finding the Fourth Proportional to 637.83, 880.20 and 358.07

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Solution

The fourth proportional to 637.83, 880.20 and 358.07 is: 494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.83 : 880.20 = 358.07 : x
  2. Step 2: Convert to fraction form
    637.83/880.20 = 358.07/x
  3. Step 3: Cross multiply
    637.83x = 880.20 × 358.07
  4. Step 4: Simplify right side
    637.83x = 315,168.81
  5. Step 5: Solve for x
    x = 315,168.81/637.83
  6. Step 6: Final answer
    x = 494.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.